Q: What are the factor combinations of the number 48,492,451?

 A:
Positive:   1 x 484924517 x 692749389 x 544859277 x 175063281 x 172571623 x 778371939 x 250091967 x 24653
Negative: -1 x -48492451-7 x -6927493-89 x -544859-277 x -175063-281 x -172571-623 x -77837-1939 x -25009-1967 x -24653


How do I find the factor combinations of the number 48,492,451?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 48,492,451, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 48,492,451
-1 -48,492,451

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 48,492,451.

Example:
1 x 48,492,451 = 48,492,451
and
-1 x -48,492,451 = 48,492,451
Notice both answers equal 48,492,451

With that explanation out of the way, let's continue. Next, we take the number 48,492,451 and divide it by 2:

48,492,451 ÷ 2 = 24,246,225.5

If the quotient is a whole number, then 2 and 24,246,225.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 48,492,451
-1 -48,492,451

Now, we try dividing 48,492,451 by 3:

48,492,451 ÷ 3 = 16,164,150.3333

If the quotient is a whole number, then 3 and 16,164,150.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 48,492,451
-1 -48,492,451

Let's try dividing by 4:

48,492,451 ÷ 4 = 12,123,112.75

If the quotient is a whole number, then 4 and 12,123,112.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 48,492,451
-1 48,492,451
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17892772816231,9391,96724,65325,00977,837172,571175,063544,8596,927,49348,492,451
-1-7-89-277-281-623-1,939-1,967-24,653-25,009-77,837-172,571-175,063-544,859-6,927,493-48,492,451

More Examples

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